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514151145 = 34517531409
BaseRepresentation
bin11110101001010…
…101001011101001
31022211110120210000
4132221111023221
52023110314040
6123004013213
715512132634
oct3651251351
91284416700
10514151145
11244252402
12124231209
138269b261
144c3dac1b
1530211130
hex1ea552e9

514151145 has 80 divisors (see below), whose sum is σ = 994997520. Its totient is φ = 253034496.

The previous prime is 514151117. The next prime is 514151173. The reversal of 514151145 is 541151415.

514151145 is a `hidden beast` number, since 5 + 141 + 511 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (514151117) and next prime (514151173).

It can be written as a sum of positive squares in 8 ways, for example, as 10732176 + 503418969 = 3276^2 + 22437^2 .

It is not a de Polignac number, because 514151145 - 215 = 514118377 is a prime.

It is a super-2 number, since 2×5141511452 = 528702799809622050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 364201 + ... + 365609.

It is an arithmetic number, because the mean of its divisors is an integer number (12437469).

Almost surely, 2514151145 is an apocalyptic number.

It is an amenable number.

514151145 is a deficient number, since it is larger than the sum of its proper divisors (480846375).

514151145 is a wasteful number, since it uses less digits than its factorization.

514151145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1487 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The square root of 514151145 is about 22674.9012125742. The cubic root of 514151145 is about 801.1188225864.

The spelling of 514151145 in words is "five hundred fourteen million, one hundred fifty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 53 81 85 135 153 159 255 265 405 459 477 765 795 901 1377 1409 1431 2295 2385 2703 4227 4293 4505 6885 7045 7155 8109 12681 13515 21135 21465 23953 24327 38043 40545 63405 71859 72981 74677 114129 119765 121635 190215 215577 224031 359295 364905 373385 570645 646731 672093 1077885 1120155 1269509 1940193 2016279 3233655 3360465 3808527 6048837 6347545 9700965 10081395 11425581 19042635 30244185 34276743 57127905 102830229 171383715 514151145